4(e-3x)-f(x-4)=2(5-5x)

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Solution for 4(e-3x)-f(x-4)=2(5-5x) equation:


Simplifying
4(e + -3x) + -1f(x + -4) = 2(5 + -5x)
(e * 4 + -3x * 4) + -1f(x + -4) = 2(5 + -5x)
(4e + -12x) + -1f(x + -4) = 2(5 + -5x)

Reorder the terms:
4e + -12x + -1f(-4 + x) = 2(5 + -5x)
4e + -12x + (-4 * -1f + x * -1f) = 2(5 + -5x)
4e + -12x + (4f + -1fx) = 2(5 + -5x)

Reorder the terms:
4e + 4f + -1fx + -12x = 2(5 + -5x)
4e + 4f + -1fx + -12x = (5 * 2 + -5x * 2)
4e + 4f + -1fx + -12x = (10 + -10x)

Solving
4e + 4f + -1fx + -12x = 10 + -10x

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-4f' to each side of the equation.
4e + 4f + -1fx + -4f + -12x = 10 + -4f + -10x

Reorder the terms:
4e + 4f + -4f + -1fx + -12x = 10 + -4f + -10x

Combine like terms: 4f + -4f = 0
4e + 0 + -1fx + -12x = 10 + -4f + -10x
4e + -1fx + -12x = 10 + -4f + -10x

Add 'fx' to each side of the equation.
4e + -1fx + fx + -12x = 10 + -4f + fx + -10x

Combine like terms: -1fx + fx = 0
4e + 0 + -12x = 10 + -4f + fx + -10x
4e + -12x = 10 + -4f + fx + -10x

Add '12x' to each side of the equation.
4e + -12x + 12x = 10 + -4f + fx + -10x + 12x

Combine like terms: -12x + 12x = 0
4e + 0 = 10 + -4f + fx + -10x + 12x
4e = 10 + -4f + fx + -10x + 12x

Combine like terms: -10x + 12x = 2x
4e = 10 + -4f + fx + 2x

Divide each side by '4'.
e = 2.5 + -1f + 0.25fx + 0.5x

Simplifying
e = 2.5 + -1f + 0.25fx + 0.5x

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